1,947,669

3 × 29 × 61 × 367

Starting at 1,947,669, the Collatz iteration reaches 1 after 122 steps. The first transition is 5843008; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 61 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,737,920

Proper Divisor Sum 790,251

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #1947667 ← → #1947683

Radix Representation

Decimal	1947669
Binary	111011011100000010101 (21 bits)
Octal	0o7334025
Hexadecimal	0x1DB815

Divisor Catalog (16)

1 3 29 61 87 183 367 1,101 1,769 5,307 10,643 22,387 31,929 67,161 649,223 1,947,669

Collatz Trajectory (122 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,947,669 5,843,008 2,921,504 1,460,752 730,376 365,188 182,594 91,297 273,892 136,946 68,473 205,420 102,710 51,355 154,066 77,033 231,100 115,550 57,775 173,326 86,663 259,990 129,995 389,986 194,993 584,980 292,490 146,245 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364

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